#### Filter Results:

#### Publication Year

1997

2016

#### Publication Type

#### Co-author

#### Key Phrase

#### Publication Venue

Learn More

This paper provides an algebraic formalization of mathematical structures formed by fuzzy relations with sup-min composition. A simple proof of a representation theorem for Boolean relation algebras satisfying Tarski rule and point axiom has been given by G. Schmidt and T. Str ohlein. Unlike Boolean relation algebras, fuzzy relation algebras are not… (More)

We reconstruct Peleg’s concurrent dynamic logic in the context of modal Kleene algebras. We explore the algebraic structure of its multirelational semantics and develop an axiomatization of concurrent dynamic algebras from that basis. In this context, sequential composition is not associative. It interacts with parallel composition through a weak… (More)

This paper studies notions of scalar relations and crispness of relations.

This paper provides a notion of Zadeh categories as a categorical structure formed by fuzzy relations with sup-min composition, and proves two representation theorems for Dedekind categories (relation categories) with a unit object analogous to one-point set, and for Zadeh categories without unit objects.

Binary multirelations generalise binary relations by associating elements of a set to its subsets. We study the structure and algebra of multirelations under the operations of union, intersection, sequential and parallel composition, as well as finite and infinite iteration. Starting from a set-theoretic investigation, we propose axiom systems for… (More)